Yes, I migrated IP (from one provided to another) last year, and I recently added a new domain as well.

The new domain on the new ip just works, and the old domain on the same ip just keep working.

Both the old and new ip are not residential IPs, I rent a small dedicated server for this purpose on the major hoster of my country. I pay about 15€/month for that, but it’s not only used for email, for all my services.